Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 52086 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ | 0.699 | 0.8728 | 0.8008 | [X:[], M:[0.9679, 0.9679, 1.1254, 0.6881, 0.7813, 0.8746], q:[0.5948, 0.4373], qb:[0.4373, 0.7813], phi:[0.4373]] | [X:[], M:[[-9], [-9], [4], [6], [1], [-4]], q:[[11], [-2]], qb:[[-2], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ q_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_2M_4$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_2M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_2M_6$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$ | $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_1^2$ | -2 | t^2.06 + t^2.34 + 2*t^2.62 + 2*t^2.9 + t^3.66 + 2*t^3.94 + 2*t^4.13 + 3*t^4.41 + 3*t^4.69 + t^4.88 + 4*t^4.97 + 5*t^5.25 + 2*t^5.53 + t^5.72 + 3*t^5.81 - 2*t^6. + 2*t^6.19 + 2*t^6.28 + 2*t^6.47 + 5*t^6.56 + 5*t^6.75 + 2*t^6.84 + t^6.94 + 7*t^7.03 + t^7.22 + 5*t^7.31 + t^7.5 + 7*t^7.59 + 11*t^7.87 - 2*t^8.06 + 5*t^8.15 + 2*t^8.26 - 2*t^8.34 + 3*t^8.43 + 3*t^8.54 - 3*t^8.62 + 4*t^8.71 + 5*t^8.82 - 2*t^8.9 - t^4.31/y - t^6.38/y - t^6.66/y - t^6.94/y - (2*t^7.22)/y + (3*t^7.41)/y + (3*t^7.69)/y + (5*t^7.97)/y + (4*t^8.25)/y - t^8.44/y + (4*t^8.53)/y + t^8.81/y - t^4.31*y - t^6.38*y - t^6.66*y - t^6.94*y - 2*t^7.22*y + 3*t^7.41*y + 3*t^7.69*y + 5*t^7.97*y + 4*t^8.25*y - t^8.44*y + 4*t^8.53*y + t^8.81*y | g1^6*t^2.06 + g1*t^2.34 + (2*t^2.62)/g1^4 + (2*t^2.9)/g1^9 + t^3.66/g1 + (2*t^3.94)/g1^6 + 2*g1^12*t^4.13 + 3*g1^7*t^4.41 + 3*g1^2*t^4.69 + g1^20*t^4.88 + (4*t^4.97)/g1^3 + (5*t^5.25)/g1^8 + (2*t^5.53)/g1^13 + g1^5*t^5.72 + (3*t^5.81)/g1^18 - 2*t^6. + 2*g1^18*t^6.19 + (2*t^6.28)/g1^5 + 2*g1^13*t^6.47 + (5*t^6.56)/g1^10 + 5*g1^8*t^6.75 + (2*t^6.84)/g1^15 + g1^26*t^6.94 + 7*g1^3*t^7.03 + g1^21*t^7.22 + (5*t^7.31)/g1^2 + g1^16*t^7.5 + (7*t^7.59)/g1^7 + (11*t^7.87)/g1^12 - 2*g1^6*t^8.06 + (5*t^8.15)/g1^17 + 2*g1^24*t^8.26 - 2*g1*t^8.34 + (3*t^8.43)/g1^22 + 3*g1^19*t^8.54 - (3*t^8.62)/g1^4 + (4*t^8.71)/g1^27 + 5*g1^14*t^8.82 - (2*t^8.9)/g1^9 - t^4.31/(g1^2*y) - (g1^4*t^6.38)/y - t^6.66/(g1*y) - t^6.94/(g1^6*y) - (2*t^7.22)/(g1^11*y) + (3*g1^7*t^7.41)/y + (3*g1^2*t^7.69)/y + (5*t^7.97)/(g1^3*y) + (4*t^8.25)/(g1^8*y) - (g1^10*t^8.44)/y + (4*t^8.53)/(g1^13*y) + t^8.81/(g1^18*y) - (t^4.31*y)/g1^2 - g1^4*t^6.38*y - (t^6.66*y)/g1 - (t^6.94*y)/g1^6 - (2*t^7.22*y)/g1^11 + 3*g1^7*t^7.41*y + 3*g1^2*t^7.69*y + (5*t^7.97*y)/g1^3 + (4*t^8.25*y)/g1^8 - g1^10*t^8.44*y + (4*t^8.53*y)/g1^13 + (t^8.81*y)/g1^18 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 56365 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ + $ M_1M_7$ + $ M_4X_1$ | 0.6767 | 0.8295 | 0.8158 | [X:[1.3345], M:[1.0018, 1.0018, 1.1103, 0.6655, 0.7776, 0.8897, 0.9982], q:[0.5534, 0.4448], qb:[0.4448, 0.7776], phi:[0.4448]] | t^2.33 + 2*t^2.67 + t^2.99 + t^3.01 + t^3.67 + t^3.99 + 3*t^4. + 2*t^4.33 + t^4.65 + t^4.67 + 2*t^5. + t^5.33 + 4*t^5.34 + 2*t^5.66 + t^5.99 - 3*t^6. - t^4.33/y - t^4.33*y | detail | |
| 56363 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ + $ M_4M_7$ | 0.6783 | 0.8327 | 0.8145 | [X:[], M:[0.9648, 0.9648, 1.1268, 0.6901, 0.7817, 0.8732, 1.3099], q:[0.5986, 0.4366], qb:[0.4366, 0.7817], phi:[0.4366]] | t^2.35 + 2*t^2.62 + 2*t^2.89 + t^3.65 + 3*t^3.93 + t^4.14 + 2*t^4.42 + t^4.69 + t^4.9 + 2*t^4.96 + 5*t^5.24 + 2*t^5.51 + 3*t^5.79 - 4*t^6. - t^4.31/y - t^4.31*y | detail | |
| 56366 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ + $ M_7\phi_1q_2^2$ | 0.7197 | 0.9131 | 0.7882 | [X:[], M:[0.9705, 0.9705, 1.1242, 0.6863, 0.7811, 0.8758, 0.6863], q:[0.5916, 0.4379], qb:[0.4379, 0.7811], phi:[0.4379]] | 2*t^2.06 + t^2.34 + 2*t^2.63 + 2*t^2.91 + t^3.66 + t^3.94 + 4*t^4.12 + 4*t^4.4 + 5*t^4.69 + t^4.86 + 6*t^4.97 + 5*t^5.25 + 2*t^5.54 + 2*t^5.72 + 3*t^5.82 - 2*t^6. - t^4.31/y - t^4.31*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 47095 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.688 | 0.8543 | 0.8054 | [X:[], M:[0.9811, 0.9811, 1.1195, 0.6792, 0.7799], q:[0.5786, 0.4403], qb:[0.4403, 0.7799], phi:[0.4403]] | t^2.04 + t^2.34 + t^2.64 + 2*t^2.94 + t^3.36 + t^3.66 + 2*t^3.96 + 2*t^4.08 + 3*t^4.38 + 2*t^4.68 + t^4.79 + 3*t^4.98 + 3*t^5.28 + t^5.4 + 2*t^5.7 + 3*t^5.89 - t^6. - t^4.32/y - t^4.32*y | detail | {a: 30921/44944, c: 19197/22472, M1: 52/53, M2: 52/53, M3: 178/159, M4: 36/53, M5: 124/159, q1: 92/159, q2: 70/159, qb1: 70/159, qb2: 124/159, phi1: 70/159} |